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Finding the Fourth Proportional to 12,632.30, 17,419.64 and 8,381.87

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Solution

The fourth proportional to 12,632.30, 17,419.64 and 8,381.87 is: 11,558.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632.30 : 17,419.64 = 8,381.87 : x
  2. Step 2: Convert to fraction form
    12,632.30/17,419.64 = 8,381.87/x
  3. Step 3: Cross multiply
    12,632.30x = 17,419.64 × 8,381.87
  4. Step 4: Simplify right side
    12,632.30x = 146,009,116.02
  5. Step 5: Solve for x
    x = 146,009,116.02/12,632.30
  6. Step 6: Final answer
    x = 11,558.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.